Curriculum Vitae for Peter Jørgensen - Staff Home Pages

Curriculum Vitae for Peter Jørgensen
Born in Denmark 12.1970. Danish citizen
Ph.D. from the University of Copenhagen 10.1997
Professor of Mathematics at the University of Newcastle since 09.2006
Address
School of Mathematics and Statistics Phone: +44(0)191 222 7288
University of Newcastle Fax: +44(0)191 222 8020
Newcastle upon Tyne NE1 7RU E-mail: peter.jorgensen@ncl.ac.uk
United Kingdom
Education
Employment
University of Copenhagen, Ph.D. in Mathematics 10.1997
Thesis: “Synthetic Commutative Algebra”
University of Copenhagen, M.Sc. in Mathematics 05.1994
Thesis: “Grothendieck Duality”
University of Copenhagen, B.Sc. in Mathematics and Physics 06.1992
Professor of Mathematics at the University of Newcastle 09.2006–
University Research Fellow at the University of Leeds 09.2003–08.2006
Research Librarian at the Danish Royal Library 01.2002–08.2003
Post Doc. at the University of Copenhagen, 02.2000–12.2001
interrupted by
Post Doc. at the University of Bielefeld 09.2000–12.2000
Database Administrator at the Danish Royal Library 02.1999–01.2000
Post Doc. at the University of Copenhagen, 10.1997–01.1999
interrupted by
Recent Talks
Post Doc. at the University of Antwerp 09.1998–12.1998
Algebra Seminar, University of Leicester 10.2012
Algebra Seminars, University of Hannover 09.2012
Talk at Workshop on Algebra, Combinatorics, Dynamics and Applications, 08.2012
Queen’s University Belfast
Talk at Workshop on Noncommutative Algebraic Geometry and Related Topics, 08.2012
University of Manchester
Talk at Workshop on Geometry, Representation Theory and Clusters, 06.2012
University of Leicester
Algebra Seminar, University of East Anglia 03.2012
Algebra Seminar, University of Cambridge 11.2011
Algebra Seminars, Jiaotong University 09.2011
Talk at Noncommutative Algebraic Geometry Workshop, Fudan University 09.2011
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Editing
Talk at Conference on Algebraic Representation Theory, Uppsala University 09.2011
Algebra Seminar, Universities of Verona and Padova 07.2011
Algebra Seminar, University of Bristol 05.2011
Algebra Seminar, University of Edinburgh 11.2010
Talk at the workshop on Algebra, Combinatorics, Dynamics and Applications, 08.2010
Queen’s University Belfast
Talk at the mini-workshop on clusters, University of Leeds 06.2010
Algebra Seminar, University of Oxford 06.2010
Algebra Seminar, University of Aberdeen 04.2010
Mathematics Colloquium, Queen’s University Belfast 11.2009
Algebra Seminar, University of Leeds 11.2009
Algebra Seminar, University of Glasgow 10.2009
Talk at the Workshop on Derived Categories in Algebra, Topology and Geometry, 09.2009
University of Leicester
Talk at the Workshop on Non-commutative Algebraic Geometry and Related Topics, 08.2009
Kyoto University
Talk at the 25th Nordic and 1st British-Nordic Congress of Mathematicians, Oslo 06.2009
Algebra and Topology Seminar, University of Copenhagen 03.2009
I am an editorial adviser for the main publications (Bulletin, Journal, and Proceedings) of the
London Mathematical Society.
With Thorsten Holm and Raphaël Rouquier, I edited the book “Triangulated categories”, London
Math. Soc. Lecture Note Ser., vol. 375, Cambridge University Press, Cambridge, 2010.
Events organised
With Raf Bocklandt and Stefan Kolb: Workshop on Triangulations and Mutations 03.2013
(5 day event at the University of Newcastle)
Meeting of the network Algebra and Representation Theory in the North 04.2012
(2 day event at the University of Newcastle)
Meeting of the network Algebra and Representation Theory in the North 10.2011
(2 day event at the University of Newcastle)
Meeting of the network Algebra and Representation Theory in the North 10.2007
(2 day event at the University of Newcastle)
With Thorsten Holm and Raphaël Rouquier: Conference on Triangulated Categories 08.2006
(5 day event at the University of Leeds; Satellite of the International Congress of
Mathematicians 2006)
Guest positions
Visiting Professor at Osaka Prefecture University 07.2008
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Ph.D. students
Thomas Fisher 10.2012–
Daniel Maycock 10.2007–09.2011
Thesis: “Properties of triangular matrix and Gorenstein
Differential Graded Algebras”
Puiman Ng 10.2007–04.2011
Thesis: “Torsion theories and Auslander–Reiten sequences”
David Pauksztello 10.2004–09.2008
Thesis: “Homological properties of Differential Graded algebras”
Postgraduate examinations
Teaching
University of Manchester (MPhil) 05.2012
University of Warwick 12.2010
University of Glasgow 06.2010
University of Leicester 12.2007
University of Newcastle (internal) 06.2007
University of Leeds (internal) 11.2005
Student questionnaire scores are available for most of the following courses upon request.
Undergraduate Algebra Course (24 lectures and ∼140 students), Newcastle 2012
Undergraduate Cryptography Course (24 lectures and ∼75 students), Newcastle 2012
Undergraduate Algebra Course (24 lectures and ∼130 students), Newcastle 2011
Undergraduate Cryptography Course (24 lectures and ∼75 students), Newcastle 2011
Undergraduate Algebra Course (24 lectures and ∼125 students), Newcastle 2010
Undergraduate Group Theory Course (24 lectures and ∼20 students), Newcastle 2009
Undergraduate Algebra Course (24 lectures and ∼140 students), Newcastle 2009
Undergraduate Group Theory Course (24 lectures and ∼35 students), Newcastle 2008
Undergraduate Algebra Course (24 lectures and ∼120 students), Newcastle 2008
Undergraduate Group Theory Course (24 lectures and ∼50 students), Newcastle 2007
Undergraduate Algebra Course (24 lectures and ∼120 students), Newcastle 2007
Undergraduate Group Theory Course (24 lectures and ∼35 students), Newcastle 2006
Undergraduate Group Theory Course (22 lectures and ∼140 students), Leeds 2006
Graduate course on Goldie’s Theorem, Leeds 2004
Undergraduate Algebra Course (60 lectures and ∼100 students), Copenhagen 2001
Undergraduate Algebra Course (60 lectures and ∼100 students), Copenhagen 2000
Graduate course based on my lecture notes 1998
“Non-commutative projective geometry”, Copenhagen
Undergraduate drop in sessions, Copenhagen 1996 and 1998
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Grants
Numerous smaller classes (algebra, calculus, combinatorics, 1992–1997
linear algebra), Copenhagen
I supervised bachelor projects in 2001/2, 2003/4, 2005/6, 2007/8 (twice), and 2008/9.
£15,863 grant from the EPSRC for Workshop on 03.2013
Triangulations and Mutations in Newcastle (with Raf Bocklandt and Stefan Kolb)
£7,500 grant from the London Mathematical Society for Workshop on 03.2013
Triangulations and Mutations in Newcastle (with Raf Bocklandt and Stefan Kolb)
£700 grant from the London Mathematical Society for visit by Kiriko Kato 11.2011
£3,500 grant from the London Mathematical Society for Conference on 08.2006
Triangulated Categories in Leeds (with Thorsten Holm and Raphaël Rouquier)
£5,000 grant from the Leverhulme Trust for Conference on Triangulated Categories 08.2006
in Leeds (with Thorsten Holm and Raphaël Rouquier)
£500 grant from the Royal Society for academic visit to ˚Arhus 10.2005
Euro 6,000 grant for Post Doc. position in Bielefeld from the 09.2000–12.2000
European Science Foundation network “Non-commutative Geometry”
Euro 5,600 grant for Post Doc. position in Antwerp from the 09.1998–12.1998
EU network “Algebraic Lie Representations”
Administration etc.
Acting Director of Research for the School of Mathematics at the 09.2011–01.2012
University of Newcastle
Member of the School Management Committee for the School of Mathematics 09.2011–01.2012
at the University of Newcastle
Member of the Publications Committee of the London Mathematical Society 04.2011–
Member of the Research Committee of the School of Mathematics 03.2008–08.2009 and 09.2011–
at the University of Newcastle
Member of the Academic Steering Committee of the MAGIC Consortium 04.2007–
Member of the Postgraduate Committee of the School of Mathematics at the 01.2007–
University of Newcastle
Postgraduate Selector for Pure Mathematics at the 01.2007–08.2009 and 02.2012–
University of Newcastle
Organiser (with Thorsten Holm and Raphaël Rouquier) of Conference on 08.2006
Triangulated Categories at the University of Leeds (satellite conference of the
International Congress of Mathematicians 2006)
Organiser of the Algebra Seminar at the University of Leeds 01.2006–08.2006
Representative for Pure Mathematics in the Library Committee of Leeds 08.2005–08.2006
University Library
Liaison between the Danish Royal Library and MathSciNet and Zentralblatt 2002–2003
MATH
Organiser of the Algebra Seminar at the University of Copenhagen 2000–2001
Member of IT Committees of the Danish Royal Library 1999 and 2002–2003
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Publications
The following list is chronologically ordered. The publications are available electronically from my
webpage, http://www.staff.ncl.ac.uk/peter.jorgensen
[1] Serre-duality for Tails(A), Proc. Amer. Math. Soc. 125 (1997), 709–716
[2] Non-commutative graded homological identities, J. London Math. Soc. (2) 57 (1998), 336–350
[3] Local cohomology for non-commutative graded algebras, Comm. Algebra 25 (1997), 575–591
[4] Non-commutative Castelnuovo-Mumford regularity, Math. Proc. Cambridge Phil. Soc. 125 (1999),
203–221
[5] Brown Representability for stable categories, Math. Scand. 85 (1999), 195–218
[6] Properties of AS-Cohen-Macaulay algebras, J. Pure Appl. Algebra 138 (1999), 239–249
[7] Gorenstein homomorphisms of non-commutative rings, J. Algebra 211 (1999), 240–267
[8] Intersection theory on non-commutative surfaces, Trans. Amer. Math. Soc. 352 (2000), 5817–5854
[9] With J. J. Zhang, Gourmet’s Guide to Gorensteinness, Adv. Math. 151 (2000), 313–345
[10] Spectra of modules, J. Algebra 244 (2001), 744–784
[11] Triangulated functors, homological functors, tilts, and lifts, Manuscripta Math. 110 (2003), 381–406
[12] Non-commutative curves and their zeta functions, J. Algebra Appl. 1 (2002), 175–199
[13] With A. Frankild, Foxby equivalence, complete modules, and torsion modules, J. Pure Appl. Algebra
174 (2002), 135–147
[14] With A. Frankild, Affine equivalence and Gorensteinness, Math. Scand. 95 (2004), 5–22
[15] With A. Frankild, Gorenstein Differential Graded Algebras, Israel J. Math. 135 (2003), 327–354
[16] With A. Frankild and S. Iyengar, Dualizing Differential Graded modules and Gorenstein Differential
Graded Algebras, J. London Math. Soc. (2) 68 (2003), 288–306
[17] With A. Frankild, Homological identities for Differential Graded Algebras, J. Algebra 265 (2003),
114–135
[18] Linear free resolutions over non-commutative algebras, Compositio Math. 140 (2004), 1053–1058
[19] Recognizing dualizing complexes, Fund. Math. 176 (2003), 251–259
[20] Auslander-Reiten theory over topological spaces, Comment. Math. Helv. 79 (2004), 160–182
[21] The Auslander-Reiten quiver of a Poincaré duality space, Algebr. Represent. Theory 9 (2006), 323–336
[22] A non-commutative BGG correspondence, Pacific J. Math. 218 (2005), 357–377
[23] Ext vanishing and infinite Auslander-Buchsbaum, Proc. Amer. Math. Soc. 133 (2005), 1335–1341
[24] Auslander-Reiten sequences on schemes, Ark. Mat. 44 (2006), 97–103.
[25] Finite flat and projective dimension, Comm. Algebra 33 (2005), 2275–2279
[26] The homotopy category of complexes of projective modules, Adv. Math. 193 (2005), 223–232
[27] Existence of Gorenstein projective resolutions and Tate cohomology, J. Eur. Math. Soc. (JEMS) 9
(2007), 59–76
[28] With H. Holm, Cohen-Macaulay homological dimensions, Rend. Sem. Mat. Univ. Padova 117 (2007),
87–112
[29] With H. Holm, Semidualizing modules and related Gorenstein homological dimensions, J. Pure Appl.
Algebra 205 (2006), 423–445
[30] Symmetry theorems for Ext vanishing, J. Algebra 301 (2006), 224–239
[31] Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math. 60 (2008), 379–
390
[32] Recollement for Differential Graded Algebras, J. Algebra 299 (2006), 589–601
[33] A new recollement for schemes, Houston J. Math. 35 (2009), 1071–1077
[34] Amplitude inequalities for Differential Graded modules, Forum Math. 22 (2010), 941–948
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[35] With H. Holm, Compactly generated homotopy categories, Homology, Homotopy Appl. 9 (2007), 257–
274
[36] With H. Holm, Covers, precovers, and purity, Illinois J. Math. 52 (2008), 691–703
[37] Auslander-Reiten triangles in subcategories, J. K-theory 3 (2009), 583–601
[38] Quotients of cluster categories, Proc. Roy. Soc. Edinburgh Sect. A 140 (2010), 65–81
[39] Reflecting recollements, Osaka J. Math. 47 (2010), 209–213
[40] With A. J. Frankild, Homological properties of cochain Differential Graded algebras, J. Algebra 320
(2008), 3311–3326
[41] Calabi-Yau categories and Poincaré duality spaces, pp. 399–431 in “Trends in Representation Theory
of Algebras and Related Topics” (edited by Andrzej Skowroński), European Mathematical Society
Publishing House, Zürich, 2008
[42] With T. Holm, On the relation between cluster and classical tilting, J. Pure Appl. Algebra 214 (2010),
1523–1533
[43] With M. Grime, Compactly generated relative stable categories, Algebr. Represent. Theory 14 (2011),
247–251
[44] With H. Holm, Rings without a Gorenstein analogue of the Govorov-Lazard Theorem, Q. J. Math. 62
(2011), 977–988
[45] With T. Holm, On a cluster category of infinite Dynkin type, and the relation to triangulations of the
infinity-gon, Math. Z. 270 (2012), 277–295
[46] With H. Holm, Cotorsion pairs induced by duality pairs, Journal of Commutative Algebra 1 (2009),
621–633
[47] With K. Kato, Symmetric Auslander and Bass categories, Math. Proc. Cambridge Phil. Soc. 150
(2011), 227–240
[48] With T. Holm, Triangulated categories: Definitions, properties and examples, pp. 1–51 in “Triangulated
categories” (edited by Holm, Jørgensen, and Rouquier), London Math. Soc. Lecture Note Ser.,
vol. 375, Cambridge University Press, Cambridge, 2010
[49] With Y. Palu, A Caldero-Chapoton map for infinite clusters, Trans. Amer. Math. Soc., in press
[50] With T. Holm and M. Rubey, Ptolemy diagrams and torsion pairs in the cluster category of Dynkin
type An, J. Algebraic Combin. 34 (2011), 507–523
[51] Duality for cochain DG algebras, Sci. China Ser. A, in press
[52] With T. Holm and D. Yang, Sparseness of t-structures and negative Calabi–Yau dimension in triangulated
categories generated by a spherical object, Bull. London Math. Soc., in press
[53] With D. Pauksztello, The co-stability manifold of a triangulated category, Glasg. Math. J., in press
[54] With T. Holm, Realising higher cluster categories of Dynkin type as stable module categories, to appear
in Q. J. Math.
[55] With K. Kato, Triangulated subcategories of extensions and triangles of recollements, preprint (2012)
[56] With T. Holm, Cluster tilting vs. weak cluster tilting in Dynkin type A infinity, to appear in Forum
Math.
[57] With T. Holm and M. Rubey, Torsion pairs in cluster tubes, preprint (2012)
[58] With D. Pauksztello, Classification of co-slicings and co-t-structures for the Kronecker algebra, preprint
(2012)
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